TSTP Solution File: MGT059+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:10:16 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   62 (  18 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   65 (  18   ~;   6   |;  24   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   17 (   1 sgn  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => ( ( ( is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = low )
            & ( ( ~ is_aligned(X1,X4)
                & positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( ~ is_aligned(X1,X4)
                & ~ positional_advantage(X1,X4) )
             => hazard_of_mortality(X1,X4) = high ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_17) ).

fof(assumption_2,conjecture,
    ! [X1,X5,X4] :
      ( ( organization(X1)
        & has_immunity(X1,X5)
        & has_immunity(X1,X4) )
     => hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',assumption_2) ).

fof(c_0_2,plain,
    ! [X4,X1] :
      ( epred1_2(X1,X4)
    <=> ( ( ( is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = low )
        & ( ( ~ is_aligned(X1,X4)
            & positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( ~ is_aligned(X1,X4)
            & ~ positional_advantage(X1,X4) )
         => hazard_of_mortality(X1,X4) = high ) ) ),
    introduced(definition) ).

fof(c_0_3,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low )
        & ( ~ has_immunity(X1,X4)
         => epred1_2(X1,X4) ) ) ),
    inference(apply_def,[status(thm)],[assumption_17,c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( organization(X1)
          & has_immunity(X1,X5)
          & has_immunity(X1,X4) )
       => hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
    inference(assume_negation,[status(cth)],[assumption_2]) ).

fof(c_0_5,plain,
    ! [X5,X6,X6] :
      ( ( ~ has_immunity(X5,X6)
        | hazard_of_mortality(X5,X6) = very_low
        | ~ organization(X5) )
      & ( has_immunity(X5,X6)
        | epred1_2(X5,X6)
        | ~ organization(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_3])])])])])]) ).

fof(c_0_6,negated_conjecture,
    ( organization(esk1_0)
    & has_immunity(esk1_0,esk2_0)
    & has_immunity(esk1_0,esk3_0)
    & hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

cnf(c_0_7,plain,
    ( hazard_of_mortality(X1,X2) = very_low
    | ~ organization(X1)
    | ~ has_immunity(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    has_immunity(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    has_immunity(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    hazard_of_mortality(esk1_0,esk2_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_13,negated_conjecture,
    hazard_of_mortality(esk1_0,esk3_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_10]),c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT059+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 08:23:34 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.014 s
% 0.23/1.41  
% 0.23/1.41  # Failure: Out of unprocessed clauses!
% 0.23/1.41  # OLD status GaveUp
% 0.23/1.41  # Parsed axioms                        : 8
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 7
% 0.23/1.41  # Initial clauses                      : 4
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 4
% 0.23/1.41  # Processed clauses                    : 4
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 4
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 0
% 0.23/1.41  # Generated clauses                    : 0
% 0.23/1.41  # ...of the previous two non-trivial   : 0
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 0
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 4
% 0.23/1.41  #    Positive orientable unit clauses  : 3
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 1
% 0.23/1.41  #    Non-unit-clauses                  : 0
% 0.23/1.41  # Current number of unprocessed clauses: 0
% 0.23/1.41  # ...number of literals in the above   : 0
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 0
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 0
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 0
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 0
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 0
% 0.23/1.41  # BW rewrite match successes           : 0
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 262
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.012 s
% 0.23/1.41  # System time              : 0.002 s
% 0.23/1.41  # Total time               : 0.014 s
% 0.23/1.41  # Maximum resident set size: 2648 pages
% 0.23/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.41  # Preprocessing time       : 0.015 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 15
% 0.23/1.41  # Proof object clause steps            : 8
% 0.23/1.41  # Proof object formula steps           : 7
% 0.23/1.41  # Proof object conjectures             : 10
% 0.23/1.41  # Proof object clause conjectures      : 7
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 5
% 0.23/1.41  # Proof object initial formulas used   : 2
% 0.23/1.41  # Proof object generating inferences   : 2
% 0.23/1.41  # Proof object simplifying inferences  : 7
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 8
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.41  # Initial clauses                      : 21
% 0.23/1.41  # Removed in clause preprocessing      : 0
% 0.23/1.41  # Initial clauses in saturation        : 21
% 0.23/1.41  # Processed clauses                    : 26
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 25
% 0.23/1.41  # Other redundant clauses eliminated   : 2
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 1
% 0.23/1.41  # Generated clauses                    : 13
% 0.23/1.41  # ...of the previous two non-trivial   : 9
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 11
% 0.23/1.41  # Factorizations                       : 0
% 0.23/1.41  # Equation resolutions                 : 2
% 0.23/1.41  # Current number of processed clauses  : 22
% 0.23/1.41  #    Positive orientable unit clauses  : 7
% 0.23/1.41  #    Positive unorientable unit clauses: 0
% 0.23/1.41  #    Negative unit clauses             : 0
% 0.23/1.41  #    Non-unit-clauses                  : 15
% 0.23/1.41  # Current number of unprocessed clauses: 4
% 0.23/1.41  # ...number of literals in the above   : 13
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 1
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 22
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 17
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 2
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 3
% 0.23/1.41  # BW rewrite match successes           : 1
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 1298
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.012 s
% 0.23/1.41  # System time              : 0.004 s
% 0.23/1.41  # Total time               : 0.016 s
% 0.23/1.41  # Maximum resident set size: 2880 pages
%------------------------------------------------------------------------------